36445090968 has 256 divisors, whose sum is σ = 119370585600. Its totient is φ = 10157114880.

The previous prime is 36445090907. The next prime is 36445090987. The reversal of 36445090968 is 86909054463.

36445090968 is a `hidden beast` number, since 3 + 6 + 44 + 509 + 0 + 96 + 8 = 666.

36445090968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9048171 + ... + 9052197.

It is an arithmetic number, because the mean of its divisors is an integer number (466291350).

Almost surely, 2^36445090968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36445090968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59685292800).

36445090968 is an abundant number, since it is smaller than the sum of its proper divisors (82925494632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36445090968 is a wasteful number, since it uses less digits than its factorization.

36445090968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 36445090968 in words is "thirty-six billion, four hundred forty-five million, ninety thousand, nine hundred sixty-eight".